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Finding the Third Proportional to 264,341,194 and 572,615,572

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Solution

The third proportional to 264,341,194 and 572,615,572 is: 1,240,399,153.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,341,194 : 572,615,572 = 572,615,572 : x
  2. Step 2: Convert to fraction form
    264,341,194/572,615,572 = 572,615,572/x
  3. Step 3: Cross multiply
    264,341,194x = 572,615,572 × 572,615,572
  4. Step 4: Simplify right side
    264,341,194x = 327,888,593,296,887,168
  5. Step 5: Solve for x
    x = 327,888,593,296,887,168/264,341,194
  6. Step 6: Final answer
    x = 1,240,399,153.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.